Models for age structured populations with distributed maturation rates. Academic Article

abstract

• In the use of age structured population models for agricultural applications such as the modeling of crop-pest interactions it is often essential that the model take into account the distribution in maturation rates present in some or all of the populations. The traditional method for incorporating distributed maturation rates into crop and pest models has been the so-called "distributed delay" method. In this paper we review the application of the distributed delay formalism to the McKendrick equation of an age structured population. We discuss the mathematical properties of the system of ordinary differential equations arising out of the distributed delay formalism. We then discuss an alternative method involving modification of the Leslie matrix.

authors

• Wilson, Lloyd

published proceedings

• J Math Biol

author list (cited authors)

• Plant, R. E., & Wilson, L. T.

citation count

• 38

complete list of authors

• Plant, RE||Wilson, LT

publication date

• February 1986

publisher

• Springer Nature  Publisher

published in

• Journal of Mathematical Biology  Journal

keywords

• Aging
• Animals
• Models, Biological
• Population Density
• Probability

PubMed Central ID

• 3958638

Digital Object Identifier (DOI)

• 10.1007/BF00276960

start page

• 247

end page

• 262

volume

• 23

issue

• 2

URL

• http://dx.doi.org/10.1007/bf00276960